Please answer

A nutritionist, studying the relationship between mean calorie intake per day and weight loss per week, collected the following data from a sample of 8 weight watcher's club members. Calorie Intake/day Weight Loss (gram )/week (y) 500 310 2,000 290 1,300 300 1,700 240 BOO 720 1,500 340 2.300 30 1,000 480 To save computational time, you may use the following sums and sums of squares and cross- products for subsequent calculations: Ex = 11,100 Zy - 3,310 SSxx - 2.608.750 SSyy - 399.587.5 SSxy = -944.625To save computational time, you may use the following sums and sums of squares and cross- products for subsequent calculations: 2x = 11,100 Ey : y = 3,310 SSxx = 2.608,750 SS yy = 399,587.5 S SSxy = -944,625 a. Find the values of a and b in the least square line y - a + bx for predicting the Weight Loss/week (y) as a function of Calorie Intake/day (x) (Note: Express a and b to 2 decimal places of accuracy.) Least square regression line: y = a + b . Use the equation of the regression line in part (a) to predict "Weight Loss/week" if the "Calorie Intake/day" is 900. Round the value to 2 decimal places of accuracy and enter in the answer box. Compute the linear correlation coefficient between "Weight Loss/week (y)" and "Calorie Intake/day () ay (x)". Express answer to 2 decimal places of accuracy.d. Test at a = 0.05 level of significance whether the correlation coefficient p is negative. Complete the table below, round t-values to three decimals. Hypotheses HO: p -0. H1:p